Application of NURBS in the Fracture Mechanics Framework to Study the Stress Intensity Factor

S. Montassir, H. Moustabchir, A. Elkhalfi
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Abstract

In this investigation, we successfully employed the Non-Uniform Rational B-spline (NURBS) to study the fracture mechanics. the NURBS functions are very popular in the design field (CAD model) and it is used as an alternative to Lagrange interpolation polynomials. The extended isogeometric analysis based on this basis function is used to evaluate the stress intensity factors (SIFs) in order to control the crack propagation. For various crack lengths, SIFs were calculated to validate the accuracy of this technique. The results obtained are in good agreement with the available techniques as CFEM, X-FEM.
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NURBS在断裂力学框架中的应用研究应力强度因子
在这项研究中,我们成功地采用了非均匀有理b样条(NURBS)来研究断裂力学。NURBS函数在设计领域(CAD模型)中非常流行,它被用作拉格朗日插值多项式的替代方法。基于该基函数的扩展等几何分析用于计算应力强度因子,以控制裂纹的扩展。对于不同裂纹长度,计算了SIFs以验证该技术的准确性。所得结果与现有的CFEM、X-FEM方法吻合较好。
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